Convert .45 to a rational number in simplest form

The decimal number .45 can be written as 45/100 in fraction form. Reducing this fraction to simplest form gives us 9/20. Therefore, .45 can be expressed as the rational number 9/20.

To convert .45 to a rational number in simplest form, we can follow these steps:

Step 1: Let x = .45.

Step 2: Multiply both sides of the equation by 100 (since .45 = 45/100):
100x = 45/100 * 100
= 45.

Step 3: Simplify the equation:
100x = 45.

Step 4: Divide both sides of the equation by 100:
x = 45/100
= 9/20.

Therefore, .45 as a rational number in simplest form is 9/20.